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Finding the Fourth Proportional to 14,413.41, 19,890.77 and 8,040.33

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Solution

The fourth proportional to 14,413.41, 19,890.77 and 8,040.33 is: 11,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.41 : 19,890.77 = 8,040.33 : x
  2. Step 2: Convert to fraction form
    14,413.41/19,890.77 = 8,040.33/x
  3. Step 3: Cross multiply
    14,413.41x = 19,890.77 × 8,040.33
  4. Step 4: Simplify right side
    14,413.41x = 159,928,314.55
  5. Step 5: Solve for x
    x = 159,928,314.55/14,413.41
  6. Step 6: Final answer
    x = 11,095.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.